# grade 10 math - Mohawk College

## grade 10 math - Mohawk College grade 10 math - Mohawk College

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PRE-ADMISSION TESTING SAMPLE QUESTIONS – GRADE 10 MATH Topic 1: Fractions 1) Reduce 9 36 2) Convert this fraction into a mixed number in lowest terms 60 25 1 1 1 3) Find the Least Common Denominator of , , 3 15 9 4) Two pins measure 3 4 and 6 9 a) What is the length of the larger pin? b) What is the length difference between the two pins? 5) Add the fractions and bring your answer to lowest terms 1 1 1 6) Add 2 2 4 5 1 1 7) Add 4 1 3 7 2 1 8) Multiply 4 1 9 6 1 2 9) Divide 3 1 2 3 3 1 9 10) Simplify 4 5 5 8 11) Find the value of x given x 15 23 3 1 1 1 5 10 6

Topic 1: Fractions<br />

1) Reduce 9<br />

36<br />

2) Convert this fraction into a mixed number in lowest terms 60<br />

25<br />

1 1 1<br />

3) Find the Least Common Denominator of , ,<br />

3 15 9<br />

4) Two pins measure 3 4<br />

and<br />

6 9<br />

a) What is the length of the larger pin?<br />

b) What is the length difference between the two pins?<br />

1 1 1<br />

2 4 5<br />

1 1<br />

3 7<br />

2 1<br />

8) Multiply 4 1<br />

9 6<br />

1 2<br />

9) Divide 3 1<br />

2 3<br />

3 1<br />

9 <br />

<strong>10</strong>) Simplify 4 5<br />

5<br />

8<br />

11) Find the value of x given<br />

x 15<br />

<br />

23 3<br />

1 1 1<br />

<br />

5 <strong>10</strong> 6

Topic 2: Decimals<br />

1) Divide 1.3289 by 0.431 and round to three decimal places<br />

2) Convert<br />

3<br />

158 5 to a decimal. Round to one decimal place.<br />

3) Convert 11.78 to a mixed fraction<br />

4) Evaluate 2,300 + 3.13 + 1.09. Round to one decimal place.<br />

5) Evaluate 1.35 – 26.491 + 11.7. Round to three decimal places.<br />

6) Evaluate 0.6 x 12.34 x 1.4. Round to two decimal places.<br />

7) Divide 1.113 by 0.56. Round to three decimal places<br />

8) Determine the volume of an aquarium with these definitions:<br />

Length = 78 cm; Width = 6 cm; Height = 43 cm<br />

9) Bob makes \$888.87 per week before deductions. The following deductions are made<br />

from his paycheque: Income Tax \$124.00; Company Pension \$42.86; C.P.P. \$38.97; and<br />

Dental Plan = \$31.97.<br />

What are his total Deductions? What is his take-home pay?<br />

<strong>10</strong>) Determine how much change you would get from \$<strong>10</strong>0 if you purchased 31.9 litres of<br />

gas at a cost of 96.7 cents per litre.<br />

Topic 3: Percents<br />

1) Express the following as percents:<br />

Decimal<br />

a) 0.62<br />

b) 3.312<br />

c) 13<br />

Percent

2) Express the following percents as decimals:<br />

Percent Decimal<br />

a) 79 %<br />

b) 317.2 %<br />

c) %<br />

3) Express the following fractions as percents:<br />

a)<br />

b)<br />

c)<br />

Fraction Percent<br />

4) Express the following percents in fractional form in lowest terms:<br />

Percent % Fraction Form<br />

a) %<br />

b) %<br />

c) %

5) Determine of \$ 3,633 rounded to the nearest cent.<br />

6) 316 kg is 15% of what measurement?<br />

7) Helmer Co. Produces 1,090 DVD's per year. If 1.4% of these are defective, how many<br />

defective DVD's are produced per year? Round your answer to the nearest whole number.<br />

8) <strong>Mohawk</strong> Digital Centre sells webcams for \$120 each. In an attempt to increase<br />

profit they increased the price by \$5.81. Express this increase as a percent of<br />

the original price.<br />

9) <strong>Mohawk</strong> Digital Centre sells digital cameras for \$390.45 each. In an attempt to increase<br />

sales they reduced the price by 2%. What is the new price after the reduction?

Topic 1: Fractions<br />

1) 1<br />

4<br />

2<br />

2) 2<br />

5<br />

3) 45<br />

1 1<br />

4) ,<br />

2 18<br />

5) 7<br />

15<br />

19<br />

6) 2<br />

20<br />

4<br />

7) 3<br />

21<br />

25<br />

8) 4<br />

27<br />

1<br />

9) 2<br />

<strong>10</strong><br />

23<br />

<strong>10</strong>) 15<br />

25<br />

11) 115<br />

Topic 2: Decimals<br />

1) 3.083<br />

2) 158.6<br />

39<br />

3) 11<br />

50<br />

4) 2,304.2<br />

5) - 13.441<br />

6) <strong>10</strong>.37<br />

7) 1.988<br />

8) 20, 124 cm 3<br />

9) \$237.80 ; \$651.07<br />

<strong>10</strong>) \$69.15<br />

Topic 3: Percents<br />

1)<br />

a. 62 %<br />

b. 331.2 %<br />

c. 1,300 %<br />

2)<br />

a. 0.79<br />

b. 3.172<br />

c. 0.143<br />

3)<br />

a. 92.2%<br />

b. 14%<br />

c. 750%<br />

4)<br />

a. 43<br />

50<br />

b. 13<br />

25<br />

c. 3<br />

40<br />

5) \$3251.54<br />

6) 2,<strong>10</strong>6.67 kg<br />

7) 15<br />

8) 4.84%<br />

9) \$382.64